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4062121640 = 235294774507
BaseRepresentation
bin1111001000011111…
…0000111010101000
3101111002121011022122
43302013300322220
531304400343030
61511025210412
7202443315143
oct36207607250
911432534278
104062121640
1117a4a64125
12954490a08
134c9762295
142a76c505a
1518b9468e5
hexf21f0ea8

4062121640 has 64 divisors (see below), whose sum is σ = 9656236800. Its totient is φ = 1535419648.

The previous prime is 4062121601. The next prime is 4062121681. The reversal of 4062121640 is 461212604.

4062121640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17267 + ... + 91773.

It is an arithmetic number, because the mean of its divisors is an integer number (150878700).

Almost surely, 24062121640 is an apocalyptic number.

4062121640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4062121640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828118400).

4062121640 is an abundant number, since it is smaller than the sum of its proper divisors (5594115160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4062121640 is a wasteful number, since it uses less digits than its factorization.

4062121640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74594 (or 74590 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4062121640 is about 63734.7757507626. The cubic root of 4062121640 is about 1595.5765370883.

The spelling of 4062121640 in words is "four billion, sixty-two million, one hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 145 188 232 235 290 376 470 580 940 1160 1363 1880 2726 5452 6815 10904 13630 27260 54520 74507 149014 298028 372535 596056 745070 1490140 2160703 2980280 3501829 4321406 7003658 8642812 10803515 14007316 17285624 17509145 21607030 28014632 35018290 43214060 70036580 86428120 101553041 140073160 203106082 406212164 507765205 812424328 1015530410 2031060820 4062121640